To determine how many liters of a 0.80 M solution can be made with 2.0 moles of potassium nitrate (KNO₃), we'll follow a step-by-step solution according to the formula for molarity.
Step 1: Understand the given data
- The number of moles of solute ([tex]\( n \)[/tex]) is given as 2.0 mol.
- The molarity ([tex]\( M \)[/tex]) of the solution is given as 0.80 M (which is moles of solute per liter of solution).
Step 2: Use the molarity formula
The formula to calculate the volume of the solution is:
[tex]\[ M = \frac{\text{moles of solute}}{\text{volume of solution in liters}} \][/tex]
Rearranging this formula to solve for the volume of solution ([tex]\( V \)[/tex]) gives us:
[tex]\[ V = \frac{\text{moles of solute}}{M} \][/tex]
Step 3: Substitute the known values into the equation
Using the given values:
- Moles of solute ([tex]\( n = 2.0 \)[/tex] mol)
- Molarity ([tex]\( M = 0.80 \)[/tex] M)
Substitute these values in:
[tex]\[ V = \frac{2.0 \text{ mol}}{0.80 \text{ M}} \][/tex]
Step 4: Calculate the solution
[tex]\[ V = \frac{2.0}{0.80} \][/tex]
[tex]\[ V = 2.5 \text{ liters} \][/tex]
Step 5: Conclusion
Therefore, you can make 2.5 liters of a 0.80 M solution with 2.0 moles of KNO₃.
